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kotykmax [81]
2 years ago
12

A lottery sells 1000 tickets at $1 apiece. There is one winner who receives $100, and 5 second place winners who receive $50 eac

h. What is the expected value of a ticket?
Advanced Placement (AP)
2 answers:
Blizzard [7]2 years ago
8 0

Answer: The expected value of a ticket is  - $0.625

Explanation: The expected value is calculated as:

E = ∑pₙxₙ

where pₙ is the probability that the event xₙ occurs.

We have 3 events, first place, where x = $99 and p = 1/1000, second place, where x = $49 and the probability is 5/1000 and the ones that dont win nothing, where x= -$1 and the probability is 996/1000

where i used 99$ and 49$ for the prices because i am discounting the $1 for the ticket.

then the expected value is:

E = ($99 + 5*$49 - 996*$1)/1000 = - $0.625

wich means that in average you lose money in this game

erma4kov [3.2K]2 years ago
4 0

<span>A lottery sells 1000 tickets at $1 apiece. There is one winner who receives $100, and 5 second place winners who receive $50 each. What is the expected value of a ticket?         =</span>$0.65





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